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Finding the Fourth Proportional to 15,489.60, 21,375.84 and 8,416.16

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Solution

The fourth proportional to 15,489.60, 21,375.84 and 8,416.16 is: 11,614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,489.60 : 21,375.84 = 8,416.16 : x
  2. Step 2: Convert to fraction form
    15,489.60/21,375.84 = 8,416.16/x
  3. Step 3: Cross multiply
    15,489.60x = 21,375.84 × 8,416.16
  4. Step 4: Simplify right side
    15,489.60x = 179,902,489.57
  5. Step 5: Solve for x
    x = 179,902,489.57/15,489.60
  6. Step 6: Final answer
    x = 11,614.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.